Nirmion
मदद एक उपकरण खोजें

MATH / STATISTICAL INFERENCE

Paired Mean Difference Confidence Interval Calculator

Estimate a paired population mean difference from summarized within-pair differences. Inspect the equation, substituted values, result, assumptions, and interpretation in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

Filter by unit name, symbol, or code. Your current selections remain available.

Preparing the calculator...

Use boundary

Calculation path

Estimate a paired population mean difference from summarized within-pair differences. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

d_bar +/- t_star s_d/sqrt(n)

What you provide

What you provide

  • Mean paired difference, using the same scenario as the other inputs
  • Difference standard deviation, using the same scenario as the other inputs
  • Pair count, using the same scenario as the other inputs
  • Critical t value, using the same scenario as the other inputs

What you receive

What you receive

  • Lower confidence bound from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Pairs are independent of other pairs and the difference distribution supports the selected t procedure.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors